{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,13]],"date-time":"2026-06-13T07:42:38Z","timestamp":1781336558016,"version":"3.54.1"},"reference-count":62,"publisher":"Springer Science and Business Media LLC","issue":"11","license":[{"start":{"date-parts":[[2023,8,16]],"date-time":"2023-08-16T00:00:00Z","timestamp":1692144000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,8,16]],"date-time":"2023-08-16T00:00:00Z","timestamp":1692144000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["CMMI-2143422"],"award-info":[{"award-number":["CMMI-2143422"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Med Biol Eng Comput"],"published-print":{"date-parts":[[2023,11]]},"DOI":"10.1007\/s11517-023-02901-3","type":"journal-article","created":{"date-parts":[[2023,8,16]],"date-time":"2023-08-16T02:01:41Z","timestamp":1692151301000},"page":"3021-3034","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Microstructural fatigue fracture behavior of glycated cortical bone"],"prefix":"10.1007","volume":"61","author":[{"given":"Ebrahim","family":"Maghami","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5432-9440","authenticated-orcid":false,"given":"Ahmad","family":"Najafi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2023,8,16]]},"reference":[{"issue":"2","key":"2901_CR1","doi-asserted-by":"publisher","first-page":"62","DOI":"10.1038\/s41551-017-0183-9","volume":"2","author":"C Acevedo","year":"2018","unstructured":"Acevedo C, Stadelmann VA, Pioletti DP, Alliston T, Ritchie RO (2018) Fatigue as the missing link between bone fragility and fracture. Nature Biomed Eng 2(2):62\u201371","journal-title":"Nature Biomed Eng"},{"issue":"2","key":"2901_CR2","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1016\/j.mporth.2020.01.006","volume":"34","author":"CJ Lodge","year":"2020","unstructured":"Lodge CJ, Sha S, Yousef ASE, MacEachern C (2020) Stress fractures in the young adult hip. J Orthop Trauma 34(2):95\u2013100","journal-title":"J Orthop Trauma"},{"issue":"3","key":"2901_CR3","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1007\/s10776-002-0632-5","volume":"8","author":"J Iwamoto","year":"2003","unstructured":"Iwamoto J, Takeda T (2003) Stress fractures in athletes: review of 196 cases. J Orthop Sci 8(3):273\u2013278","journal-title":"J Orthop Sci"},{"issue":"2","key":"2901_CR4","doi-asserted-by":"publisher","first-page":"483","DOI":"10.1148\/radiology.134.2.7352236","volume":"134","author":"K Meurman","year":"1980","unstructured":"Meurman K, Elfving S (1980) Stress fracture in soldiers: a multifocal bone disorder. a comparative radiological and scintigraphic study. Radiology 134(2):483\u2013487","journal-title":"Radiology"},{"issue":"12","key":"2901_CR5","doi-asserted-by":"publisher","first-page":"2581","DOI":"10.1007\/s00264-012-1708-1","volume":"36","author":"S Breer","year":"2012","unstructured":"Breer S, Krause M, Marshall RP, Oheim R, Amling M, Barvencik F (2012) Stress fractures in elderly patients. Int Orthop 36(12):2581\u20132587","journal-title":"Int Orthop"},{"issue":"5","key":"2901_CR6","doi-asserted-by":"publisher","first-page":"659","DOI":"10.1177\/036354659702500512","volume":"25","author":"P Carpintero","year":"1997","unstructured":"Carpintero P, Berral FJ, Baena P, Garcia-Frasquet A, Lancho JL (1997) Delayed diagnosis of fatigue fractures in the elderly. Am J Sports Med 25(5):659\u2013662","journal-title":"Am J Sports Med"},{"issue":"4","key":"2901_CR7","doi-asserted-by":"publisher","first-page":"881","DOI":"10.1016\/j.bone.2004.05.024","volume":"35","author":"S Colopy","year":"2004","unstructured":"Colopy S, Benz-Dean J, Barrett J, Sample S, Lu Y, Danova N et al (2004) Response of the osteocyte syncytium adjacent to and distant from linear microcracks during adaptation to cyclic fatigue loading. Bone 35(4):881\u2013891","journal-title":"Bone"},{"issue":"1","key":"2901_CR8","doi-asserted-by":"publisher","first-page":"6","DOI":"10.1359\/jbmr.1997.12.1.6","volume":"12","author":"DB Burr","year":"1997","unstructured":"Burr DB, Forwood MR, Fyhrie DP, Martin RB, Schaffler MB, Turner CH (1997) Bone microdamage and skeletal fragility in osteoporotic and stress fractures. J Bone Mineral Res 12(1):6\u201315","journal-title":"J Bone Mineral Res"},{"key":"2901_CR9","doi-asserted-by":"crossref","unstructured":"Seref-Ferlengez Z, Kennedy OD, Schaffler MB (2015) Bone microdamage, remodeling and bone fragility: how much damage is too much damage? BoneKEy reports 4","DOI":"10.1038\/bonekey.2015.11"},{"issue":"2","key":"2901_CR10","doi-asserted-by":"publisher","first-page":"169","DOI":"10.1007\/s11914-012-0101-8","volume":"10","author":"JS Nyman","year":"2012","unstructured":"Nyman JS, Makowski AJ (2012) The contribution of the extracellular matrix to the fracture resistance of bone. Current osteoporos Rep 10(2):169\u2013177","journal-title":"Current osteoporos Rep"},{"issue":"8","key":"2901_CR11","doi-asserted-by":"publisher","first-page":"268","DOI":"10.1138\/20090390","volume":"6","author":"D Vashishth","year":"2009","unstructured":"Vashishth D (2009) Advanced glycation end-products and bone fractures. Ibms Bonekey 6(8):268","journal-title":"Ibms Bonekey"},{"key":"2901_CR12","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1016\/j.bone.2015.07.028","volume":"82","author":"L Karim","year":"2016","unstructured":"Karim L, Bouxsein ML (2016) Effect of type 2 diabetes-related non-enzymatic glycation on bone biomechanical properties. Bone 82:21\u201327","journal-title":"Bone"},{"key":"2901_CR13","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1016\/j.jbiomech.2017.11.021","volume":"67","author":"T Collier","year":"2018","unstructured":"Collier T, Nash A, Birch H, De Leeuw N (2018) Effect on the mechanical properties of type i collagen of intra-molecular lysine-arginine derived advanced glycation end-product cross-linking. J Biomech 67:55\u201361","journal-title":"J Biomech"},{"issue":"5","key":"2901_CR14","doi-asserted-by":"publisher","first-page":"972","DOI":"10.1002\/jor.24543","volume":"38","author":"K Merlo","year":"2020","unstructured":"Merlo K, Aaronson J, Vaidya R, Rezaee T, Chalivendra V, Karim L (2020) In vitro-induced high sugar environments deteriorate human cortical bone elastic modulus and fracture toughness. J Orthop Res 38(5):972\u2013983","journal-title":"J Orthop Res"},{"issue":"9","key":"2901_CR15","doi-asserted-by":"publisher","first-page":"1343","DOI":"10.1007\/s00198-008-0585-3","volume":"19","author":"M Saito","year":"2008","unstructured":"Saito M, Mori S, Mashiba T, Komatsubara S, Marumo K (2008) Collagen maturity, glycation induced-pentosidine, and mineralization are increased following 3-year treatment with incadronate in dogs. Osteoporos Int 19(9):1343\u20131354","journal-title":"Osteoporos Int"},{"issue":"1","key":"2901_CR16","doi-asserted-by":"publisher","first-page":"148","DOI":"10.1016\/j.bone.2009.09.003","volume":"46","author":"S Tang","year":"2010","unstructured":"Tang S, Vashishth D (2010) Non-enzymatic glycation alters microdamage formation in human cancellous bone. Bone 46(1):148\u2013154","journal-title":"Bone"},{"issue":"10","key":"2901_CR17","doi-asserted-by":"publisher","first-page":"4435","DOI":"10.3390\/app11104435","volume":"11","author":"HQ Nguyen","year":"2021","unstructured":"Nguyen HQ, Nguyen TNT, Pham TQD, Nguyen VD, Tran XV, Dao TT (2021) Crack propagation in the tibia bone within total knee replacement using the extended finite element method. Appl Sci 11(10):4435","journal-title":"Appl Sci"},{"key":"2901_CR18","doi-asserted-by":"publisher","first-page":"64","DOI":"10.1016\/j.jmbbm.2018.05.006","volume":"84","author":"RB Kahla","year":"2018","unstructured":"Kahla RB, Barkaoui A, Merzouki T (2018) Age-related mechanical strength evolution of trabecular bone under fatigue damage for both genders: Fracture risk evaluation. J Mech Behav Biomed Mater 84:64\u201373","journal-title":"J Mech Behav Biomed Mater"},{"key":"2901_CR19","doi-asserted-by":"crossref","unstructured":"Hambli R, Hattab N (2013) Application of neural network and finite element method for multiscale prediction of bone fatigue crack growth in cancellous bone. Multiscale Computer Modeling in Biomechanics and Biomedical Engineering 3\u201330","DOI":"10.1007\/8415_2012_146"},{"issue":"15","key":"2901_CR20","doi-asserted-by":"publisher","first-page":"2513","DOI":"10.1016\/j.jbiomech.2009.07.014","volume":"42","author":"D Waanders","year":"2009","unstructured":"Waanders D, Janssen D, Miller MA, Mann KA, Verdonschot N (2009) Fatigue creep damage at the cement-bone interface: an experimental and a micro-mechanical finite element study. J Biomech 42(15):2513\u20132519","journal-title":"J Biomech"},{"key":"2901_CR21","doi-asserted-by":"publisher","first-page":"18","DOI":"10.1016\/j.engfracmech.2015.03.045","volume":"139","author":"TT Nguyen","year":"2015","unstructured":"Nguyen TT, Yvonnet J, Zhu QZ, Bornert M, Chateau C (2015) A phase field method to simulate crack nucleation and propagation in strongly heterogeneous materials from direct imaging of their microstructure. Eng Fract Mech 139:18\u201339","journal-title":"Eng Fract Mech"},{"issue":"1","key":"2901_CR22","doi-asserted-by":"publisher","first-page":"70","DOI":"10.1016\/j.jmps.2007.08.003","volume":"56","author":"JJ Remmers","year":"2008","unstructured":"Remmers JJ, de Borst R, Needleman A (2008) The simulation of dynamic crack propagation using the cohesive segments method. J Mech Phys Solids 56(1):70\u201392","journal-title":"J Mech Phys Solids"},{"issue":"1","key":"2901_CR23","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1002\/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J","volume":"46","author":"N Mo\u00ebs","year":"1999","unstructured":"Mo\u00ebs N, Dolbow J, Belytschko T (1999) A finite element method for crack growth without remeshing. Int J Num Methods Eng 46(1):131\u2013150","journal-title":"Int J Num Methods Eng"},{"key":"2901_CR24","doi-asserted-by":"publisher","first-page":"138","DOI":"10.1016\/j.compstruc.2014.09.017","volume":"147","author":"SS Ghorashi","year":"2015","unstructured":"Ghorashi SS, Valizadeh N, Mohammadi S, Rabczuk T (2015) T-spline based xiga for fracture analysis of orthotropic media. Comput Struct 147:138\u2013146","journal-title":"Comput Struct"},{"key":"2901_CR25","doi-asserted-by":"publisher","first-page":"239","DOI":"10.1016\/j.compositesb.2019.04.003","volume":"169","author":"S Natarajan","year":"2019","unstructured":"Natarajan S, Annabattula RK, Mart\u00ednez-Pa\u00f1eda E et al (2019) Phase field modelling of crack propagation in functionally graded materials. Compos Part B: Eng 169:239\u2013248","journal-title":"Compos Part B: Eng"},{"issue":"5","key":"2901_CR26","doi-asserted-by":"publisher","first-page":"1017","DOI":"10.1007\/s00466-015-1151-4","volume":"55","author":"M Ambati","year":"2015","unstructured":"Ambati M, Gerasimov T, De Lorenzis L (2015) Phase-field modeling of ductile fracture. Comput Mech 55(5):1017\u20131040","journal-title":"Comput Mech"},{"issue":"45\u201348","key":"2901_CR27","doi-asserted-by":"publisher","first-page":"2765","DOI":"10.1016\/j.cma.2010.04.011","volume":"199","author":"C Miehe","year":"2010","unstructured":"Miehe C, Hofacker M, Welschinger F (2010) A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits. Comput Methods Appl Mech Eng 199(45\u201348):2765\u20132778","journal-title":"Comput Methods Appl Mech Eng"},{"key":"2901_CR28","unstructured":"Wu JY, Nguyen VP, Nguyen CT, Sutula D, Bordas S, Sinaie S (2018) Phase field modeling of fracture. Advances in applied mechancis: multi-scale theory and computation 52"},{"key":"2901_CR29","doi-asserted-by":"publisher","first-page":"78","DOI":"10.1016\/j.cma.2016.05.015","volume":"312","author":"R de Borst","year":"2016","unstructured":"de Borst R, Verhoosel CV (2016) Gradient damage vs phase-field approaches for fracture: similarities and differences. Comput Methods Appl Mech Eng 312:78\u201394","journal-title":"Comput Methods Appl Mech Eng"},{"key":"2901_CR30","doi-asserted-by":"publisher","first-page":"102447","DOI":"10.1016\/j.tafmec.2019.102447","volume":"106","author":"S Goswami","year":"2020","unstructured":"Goswami S, Anitescu C, Chakraborty S, Rabczuk T (2020) Transfer learning enhanced physics informed neural network for phase-field modeling of fracture. Theor Appl Fract Mech 106:102447","journal-title":"Theor Appl Fract Mech"},{"key":"2901_CR31","doi-asserted-by":"publisher","first-page":"287","DOI":"10.1016\/j.engfracmech.2017.08.002","volume":"188","author":"MA Msekh","year":"2018","unstructured":"Msekh MA, Cuong N, Zi G, Areias P, Zhuang X, Rabczuk T (2018) Fracture properties prediction of clay\/epoxy nanocomposites with interphase zones using a phase field model. Eng Fract Mech 188:287\u2013299","journal-title":"Eng Fract Mech"},{"issue":"3","key":"2901_CR32","doi-asserted-by":"publisher","first-page":"342","DOI":"10.1080\/10255842.2021.2023135","volume":"25","author":"E Maghami","year":"2022","unstructured":"Maghami E, Moore JP, Josephson TO, Najafi AR (2022) Damage analysis of human cortical bone under compressive and tensile loadings. Comput Methods Biomech Biomed Eng 25(3):342\u2013357","journal-title":"Comput Methods Biomech Biomed Eng"},{"key":"2901_CR33","doi-asserted-by":"publisher","first-page":"105029","DOI":"10.1016\/j.jmbbm.2021.105029","volume":"126","author":"TO Josephson","year":"2022","unstructured":"Josephson TO, Moore JP, Maghami E, Freeman TA, Najafi AR (2022) Computational study of the mechanical influence of lacunae and perilacunar zones in cortical bone microcracking. J Mech Behav Biomed Mater 126:105029","journal-title":"J Mech Behav Biomed Mater"},{"key":"2901_CR34","doi-asserted-by":"publisher","first-page":"110600","DOI":"10.1016\/j.jbiomech.2021.110600","volume":"125","author":"E Maghami","year":"2021","unstructured":"Maghami E, Josephson TO, Moore JP, Rezaee T, Freeman TA, Karim L et al (2021) Fracture behavior of human cortical bone: role of advanced glycation end-products and microstructural features. J Biomech 125:110600","journal-title":"J Biomech"},{"key":"2901_CR35","doi-asserted-by":"publisher","first-page":"104171","DOI":"10.1016\/j.jmbbm.2020.104171","volume":"114","author":"E Maghami","year":"2021","unstructured":"Maghami E, Pejman R, Najafi AR (2021) Fracture micromechanics of human dentin: a microscale numerical model. J Mech Behav Biomed Mater 114:104171","journal-title":"J Mech Behav Biomed Mater"},{"issue":"12","key":"2901_CR36","doi-asserted-by":"publisher","first-page":"e2880","DOI":"10.1002\/cnm.2880","volume":"33","author":"L Nguyen","year":"2017","unstructured":"Nguyen L, Stoter S, Baum T, Kirschke J, Ruess M, Yosibash Z et al (2017) Phase-field boundary conditions for the voxel finite cell method: surface-free stress analysis of ct-based bone structures. Int J Numer Methods Biomed Eng 33(12):e2880","journal-title":"Int J Numer Methods Biomed Eng"},{"issue":"11","key":"2901_CR37","doi-asserted-by":"publisher","first-page":"1789","DOI":"10.1016\/j.dental.2022.09.009","volume":"38","author":"E Maghami","year":"2022","unstructured":"Maghami E, Najafi AR (2022) Influence of age-related changes on crack growth trajectories and toughening mechanisms in human dentin. Dent Mater 38(11):1789\u20131800","journal-title":"Dent Mater"},{"key":"2901_CR38","doi-asserted-by":"publisher","first-page":"106752","DOI":"10.1016\/j.engfracmech.2019.106752","volume":"224","author":"C Wu","year":"2020","unstructured":"Wu C, Fang J, Zhang Z, Entezari A, Sun G, Swain MV et al (2020) Fracture modeling of brittle biomaterials by the phase-field method. Eng Fract Mech 224:106752","journal-title":"Eng Fract Mech"},{"issue":"2","key":"2901_CR39","doi-asserted-by":"publisher","first-page":"391","DOI":"10.1111\/1556-4029.12697","volume":"60","author":"DC Pinto","year":"2015","unstructured":"Pinto DC, Pace ED (2015) A silver-stain modification of standard histological slide preparation for use in anthropology analyses. J Forensic Sci 60(2):391\u2013398","journal-title":"J Forensic Sci"},{"key":"2901_CR40","doi-asserted-by":"publisher","first-page":"556","DOI":"10.1016\/j.jmbbm.2018.09.045","volume":"90","author":"A Gustafsson","year":"2019","unstructured":"Gustafsson A, Khayyeri H, Wallin M, Isaksson H (2019) An interface damage model that captures crack propagation at the microscale in cortical bone using xfem. J Mech Behav Biomed Mater 90:556\u2013565","journal-title":"J Mech Behav Biomed Mater"},{"issue":"5A","key":"2901_CR41","doi-asserted-by":"publisher","first-page":"13","DOI":"10.4236\/wjm.2013.35A003","volume":"3","author":"KP Saffar","year":"2013","unstructured":"Saffar KP, Najafi AR, Moeinzadeh MH, Sudak LJ (2013) A finite element study of crack behavior for carbon nanotube reinforced bone cement. World J Mech 3(5A):13\u201321","journal-title":"World J Mech"},{"issue":"1","key":"2901_CR42","doi-asserted-by":"publisher","first-page":"128","DOI":"10.1016\/j.commatsci.2011.01.021","volume":"52","author":"AA Abdel-Wahab","year":"2012","unstructured":"Abdel-Wahab AA, Maligno AR, Silberschmidt VV (2012) Micro-scale modelling of bovine cortical bone fracture: analysis of crack propagation and microstructure using x-fem. Comput Mater Sci 52(1):128\u2013135","journal-title":"Comput Mater Sci"},{"issue":"4","key":"2901_CR43","doi-asserted-by":"publisher","first-page":"806","DOI":"10.1016\/S0736-0266(01)00186-3","volume":"20","author":"Z Fan","year":"2002","unstructured":"Fan Z, Swadener J, Rho J, Roy M, Pharr G (2002) Anisotropic properties of human tibial cortical bone as measured by nanoindentation. J Orthop Res 20(4):806\u2013810","journal-title":"J Orthop Res"},{"issue":"14","key":"2901_CR44","doi-asserted-by":"publisher","first-page":"2115","DOI":"10.1039\/B402005G","volume":"14","author":"P Fratzl","year":"2004","unstructured":"Fratzl P, Gupta H, Paschalis E, Roschger P (2004) Structure and mechanical quality of the collagen-mineral nano-composite in bone. J Mater Chem 14(14):2115\u20132123","journal-title":"J Mater Chem"},{"key":"2901_CR45","doi-asserted-by":"publisher","first-page":"168","DOI":"10.1016\/j.engfracmech.2017.08.026","volume":"184","author":"E Giner","year":"2017","unstructured":"Giner E, Belda R, Arango C, Vercher-Mart\u00ednez A, Taranc\u00f3n JE, Fuenmayor FJ (2017) Calculation of the critical energy release rate gc of the cement line in cortical bone combining experimental tests and finite element models. Eng Fract Mech 184:168\u2013182","journal-title":"Eng Fract Mech"},{"issue":"3","key":"2901_CR46","doi-asserted-by":"publisher","first-page":"380","DOI":"10.1002\/(SICI)1097-4636(20000305)49:3<380::AID-JBM11>3.0.CO;2-W","volume":"49","author":"CU Brown","year":"2000","unstructured":"Brown CU, Yeni YN, Norman TL (2000) Fracture toughness is dependent on bone location\u2013a study of the femoral neck, femoral shaft, and the tibial shaft. J Biomed Mater Res: Off J Soc Biomater Jpn Soc Biomater 49(3):380\u2013389","journal-title":"J Biomed Mater Res: Off J Soc Biomater Jpn Soc Biomater"},{"issue":"2","key":"2901_CR47","doi-asserted-by":"publisher","first-page":"330","DOI":"10.1016\/j.jbiomech.2010.10.016","volume":"44","author":"S Tang","year":"2011","unstructured":"Tang S, Vashishth D (2011) The relative contributions of non-enzymatic glycation and cortical porosity on the fracture toughness of aging bone. J Biomech 44(2):330\u2013336","journal-title":"J Biomech"},{"issue":"1\u20133","key":"2901_CR48","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1007\/s10659-007-9107-3","volume":"91","author":"B Bourdin","year":"2008","unstructured":"Bourdin B, Francfort GA, Marigo JJ (2008) The variational approach to fracture. J Elast 91(1\u20133):5\u2013148","journal-title":"J Elast"},{"key":"2901_CR49","doi-asserted-by":"publisher","DOI":"10.1016\/j.tafmec.2019.102446","volume":"107","author":"PK Kristensen","year":"2020","unstructured":"Kristensen PK, Mart\u00ednez-Pa\u00f1eda E (2020) Phase field fracture modelling using quasi-newton methods and a new adaptive step scheme. Theor Appl Fract Mech 107:102446","journal-title":"Theor Appl Fract Mech"},{"key":"2901_CR50","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1016\/j.engfracmech.2017.11.036","volume":"190","author":"R Alessi","year":"2018","unstructured":"Alessi R, Vidoli S, De Lorenzis L (2018) A phenomenological approach to fatigue with a variational phase-field model: the one-dimensional case. Eng Fract Mech 190:53\u201373","journal-title":"Eng Fract Mech"},{"key":"2901_CR51","doi-asserted-by":"publisher","first-page":"112731","DOI":"10.1016\/j.cma.2019.112731","volume":"361","author":"P Carrara","year":"2020","unstructured":"Carrara P, Ambati M, Alessi R, De Lorenzis L (2020) A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach. Comput Methods Appl Mech Eng 361:112731","journal-title":"Comput Methods Appl Mech Eng"},{"key":"2901_CR52","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1016\/j.bone.2018.10.010","volume":"120","author":"DB Burr","year":"2019","unstructured":"Burr DB (2019) Changes in bone matrix properties with aging. Bone 120:85\u201393","journal-title":"Bone"},{"key":"2901_CR53","doi-asserted-by":"crossref","unstructured":"Li J, Gong H (2021) Fatigue behavior of cortical bone: a review. Acta Mech Sinica 37(3):516\u2013526","DOI":"10.1007\/s10409-020-01012-8"},{"issue":"2","key":"2901_CR54","doi-asserted-by":"publisher","first-page":"420","DOI":"10.1016\/j.ijfatigue.2009.08.002","volume":"32","author":"A Varvani-Farahani","year":"2010","unstructured":"Varvani-Farahani A, Najmi H (2010) A damage assessment model for cadaveric cortical bone subjected to fatigue cycles. Int J Fatigue 32(2):420\u2013427","journal-title":"Int J Fatigue"},{"key":"2901_CR55","doi-asserted-by":"publisher","first-page":"422","DOI":"10.1016\/j.engfracmech.2018.01.002","volume":"187","author":"D Taylor","year":"2018","unstructured":"Taylor D (2018) Observations on the role of fracture mechanics in biology and medicine. Eng Fract Mech 187:422\u2013430","journal-title":"Eng Fract Mech"},{"issue":"1","key":"2901_CR56","first-page":"23","volume":"14","author":"UG Wegst","year":"2015","unstructured":"Wegst UG, Bai H, Saiz E, Tomsia AP, Ritchie RO (2015) Bioinspired structural materials. Nature Mater 14(1):23\u201336","journal-title":"Bioinspired structural materials. Nature Mater"},{"issue":"4","key":"2901_CR57","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1016\/0021-9290(76)90006-3","volume":"9","author":"D Carter","year":"1976","unstructured":"Carter D, Hayes WC, Schurman DJ (1976) Fatigue life of compact bone\u2013ii. effects of microstructure and density. J Biomech 9(4):211-218","journal-title":"J Biomech"},{"key":"2901_CR58","doi-asserted-by":"publisher","first-page":"120","DOI":"10.1016\/j.jmbbm.2015.08.012","volume":"52","author":"AA Poundarik","year":"2015","unstructured":"Poundarik AA, Wu PC, Evis Z, Sroga GE, Ural A, Rubin M et al (2015) A direct role of collagen glycation in bone fracture. J Mech Behav Biomed Mater 52:120\u2013130","journal-title":"J Mech Behav Biomed Mater"},{"issue":"2","key":"2901_CR59","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1016\/8756-3282(89)90012-4","volume":"10","author":"S Carando","year":"1989","unstructured":"Carando S, Barbos MP, Ascenzi A, Boyde A (1989) Orientation of collagen in human tibial and fibular shaft and possible correlation with mechanical properties. Bone 10(2):139\u2013142","journal-title":"Bone"},{"issue":"1","key":"2901_CR60","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1080\/10255842.2011.607444","volume":"16","author":"S Mischinski","year":"2013","unstructured":"Mischinski S, Ural A (2013) Interaction of microstructure and microcrack growth in cortical bone: a finite element study. Comput Methods Biomech Biomed Eng 16(1):81\u201394","journal-title":"Comput Methods Biomech Biomed Eng"},{"issue":"4","key":"2901_CR61","doi-asserted-by":"publisher","first-page":"579","DOI":"10.1007\/s00466-008-0283-1","volume":"42","author":"E Budyn","year":"2008","unstructured":"Budyn E, Hoc T, Jonvaux J (2008) Fracture strength assessment and aging signs detection in human cortical bone using an x-fem multiple scale approach. Comput Mech 42(4):579\u2013591","journal-title":"Comput Mech"},{"key":"2901_CR62","doi-asserted-by":"crossref","unstructured":"Li S, Abdel-Wahab A, Demirci E, Silberschmidt VV (2014) Fracture process in cortical bone: X-fem analysis of microstructured models. In: Fracture phenomena in nature and technology Springer, pp 43\u201355","DOI":"10.1007\/978-3-319-04397-5_5"}],"updated-by":[{"DOI":"10.1007\/s11517-023-02990-0","type":"correction","label":"Correction","source":"publisher","updated":{"date-parts":[[2023,12,13]],"date-time":"2023-12-13T00:00:00Z","timestamp":1702425600000}}],"container-title":["Medical &amp; Biological Engineering &amp; Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11517-023-02901-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11517-023-02901-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11517-023-02901-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,12,15]],"date-time":"2023-12-15T08:09:36Z","timestamp":1702627776000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11517-023-02901-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,8,16]]},"references-count":62,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2023,11]]}},"alternative-id":["2901"],"URL":"https:\/\/doi.org\/10.1007\/s11517-023-02901-3","relation":{"correction":[{"id-type":"doi","id":"10.1007\/s11517-023-02990-0","asserted-by":"object"}]},"ISSN":["0140-0118","1741-0444"],"issn-type":[{"value":"0140-0118","type":"print"},{"value":"1741-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,8,16]]},"assertion":[{"value":"15 January 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 July 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 August 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 December 2023","order":4,"name":"change_date","label":"Change Date","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"Correction","order":5,"name":"change_type","label":"Change Type","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"A Correction to this paper has been published:","order":6,"name":"change_details","label":"Change Details","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"https:\/\/doi.org\/10.1007\/s11517-023-02990-0","URL":"https:\/\/doi.org\/10.1007\/s11517-023-02990-0","order":7,"name":"change_details","label":"Change Details","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"N\/A.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Informed consent"}},{"value":"The authors declare that they have no conflict of interest.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"This article does not contain any studies with human or animal subjects performed by any of the authors. All reported studies\/experiments with human subjects performed by the authors have been previously published and complied with all applicable ethical standards.","order":4,"name":"Ethics","group":{"name":"EthicsHeading","label":"Human and animal rights and informed consent"}}]}}